Asymptotic Behavior of an Unforced Duhem-Type Hysteretic Oscillator
Systems and Control
2026-01-27 v2 Systems and Control
Classical Physics
Abstract
The article describes fundamental analytical properties of an unforced mechanical oscillator with a Duhem-type viscoelastoplastic hysteretic element. These properties include global existence of solutions, uniqueness of solutions, and convergence of each solution to an equilibrium point.
Keywords
Cite
@article{arxiv.2601.01951,
title = {Asymptotic Behavior of an Unforced Duhem-Type Hysteretic Oscillator},
author = {Mihails Milehins and Dan B. Marghitu},
journal= {arXiv preprint arXiv:2601.01951},
year = {2026}
}
Comments
8 pages; (v2) minor amendments, further references